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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2436f17442a45e10731dc5da500998e30ee50bda | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/calculus/lhopital.lean | 00712c862df1c7b3f00f9c1346040497ec6d75a1 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,640 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.calculus.mean_value
import Mathlib.PostPort
namespace Mathlib
/-!
# L'HΓ΄pita... |
c45cc06cfab770d2603091a3041d2b91676bdefd | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/converter/interactive.lean | 11e244ca36615e6357a3a8d1ba3f7344cd0f44d3 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 6,879 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Converter monad for building simplifiers.
-/
prelude
import init.meta.interactive
import init.meta.converter.conv
namespace conv
meta def save_info (p : pos)... |
3e32fa5e39aa8fdd284e3138982b92fc84a52a86 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/continued_fractions/computation/translations.lean | a7eeeac76d51a26fbcd50a91b3b2389d571d49b1 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 8,326 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.basic
import algebra.continued_fractions.translations
/-!
# Basic Translation Lemmas Between Structures Defined for... |
ad2708bd373d9d0e9df4a80c16bfcb86c43f9cec | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/functorial.lean | 6a393cc6231e39b17a82ce2cebc6957e96c877d7 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,293 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.functor
import Mathlib.PostPort
universes vβ vβ uβ uβ l uβ vβ
namespace ... |
9f9760bad4208de1926c2d0184c56c77e5c06fcf | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Json/Stream.lean | e5edb713834d836bd8f2415d330649e22a2c4e70 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 717 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga
-/
import Init.System.IO
import Lean.Data.Json.Parser
import Lean.Data.Json.Printer
import Lean.Data.Json.FromToJson
namespace IO.FS.Stream
open Lean
open IO
/-- Consu... |
0538c8d44f91f801cb035b9f81efee018e6680ec | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/list/fin_nth.lean | eac9cc4cce3f2b59a3dfae37f2de8c96820a8f55 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,324 | lean | /-
This defines an operation fin_nth which gets the nth item on a list when the
index is guaranteed to reference a valid element.
-/
import galois.nat.simplify_le
import init.data.fin.ops
universe variable u
namespace list
/--
Return the element in the list at the given index.
This is a total version of nth.
-/
def... |
b0102d3de186b6b2a75c7ea1ee6e9f3838e1e1d4 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Data/HashMap/Basic.lean | 97459d3b7c21854531789e7543bb73683e45d171 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 7,565 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Array.Basic
import Init.Data.AssocList
import Init.Data.Option.Basic
import Init.Data.Hashable
universes u v w
def HashMapBucket (Ξ±... |
a1c64eb4cfd0a0b54e44ec9c32ad629b0c8f4fa1 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/data/real/nnreal.lean | 74f26174aea3b0ecb6cfcf64e80995907fc5ac18 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,601 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.linear_ordered_comm_group_with_zero
import algebra.big_operators.ring
import data.real.basic
import data.indicator_function
/-!
# Nonnegative real num... |
2e805dd8ef23ccfee7cd6f67e98bf0f431494c6d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/set_theory/ordinal_notation.lean | 5bb363920e169b6a9e32781e24cb03d050e67721 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 35,945 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import set_theory.ordinal_arithmetic
/-!
# Ordinal notation
Constructive ordinal arithmetic for ordinals below `Ξ΅β`.
We define a type `onote`, with constructors `... |
ec5960772498f9695f760a3202f80752cfa52624 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/ring_theory/adjoin_root.lean | acf6b881796b4079671cb25c9131697946fc9b3b | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,716 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
Adjoining roots of polynomials
-/
import data.polynomial.field_division
import ring_theory.adjoin
import ring_theory.principal_ideal_domain
import linear_... |
3973f2a7f54be2b2299ab3c8414af7158bf1747b | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/StxQuot.lean | 1cdf9e5bee72ef9fc56457a196d776aa8a0fe3fb | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 4,544 | lean | import Lean
open Lean
open Lean.Elab
def run {Ξ±} [ToString Ξ±] : Unhygienic Ξ± β String := toString β Unhygienic.run
#eval run `()
#eval run `(Nat.one)
def miss : TSyntax `term := β¨Syntax.missingβ©
#eval run `($miss)
namespace Lean.Syntax
#eval run `($miss)
#eval run `($(miss))
#eval run `($(id miss) + 1)
#eval run $ l... |
911fd1fca68bdfba9b8ae2db28b5bd98407b791f | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/exceptional.lean | d28c6f66d3db45c5fe162b75d000d74ccd7bff0d | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 1,614 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.control.monad init.meta.format init.util
/-
Remark: we use a function that produces a format object as the exception information.
Motiva... |
dd9078151710c945e05f2c84fddac8dcab3525ac | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/constructions.lean | 0d746832a3e2013c5a9de8e4b16819b90506c013 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,190 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Patrick Massot
-/
import topology.maps
/-!
# Constructions of new topological spaces from old ones
This file constructs products, sums, subtypes and q... |
6391e8f3989b18195cb56ba275f641572c5cdb5d | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /06_Inductive_Types.org.37.lean | 7e7ca0ee72b4360083b934915c64cfe10bec53e4 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 130 | lean | /- page 90 -/
import standard
inductive binary_tree :=
| leaf : binary_tree
| node : binary_tree β binary_tree β binary_tree
|
9b3402a0a0bc4bf9aaed2a782730c54515df163c | d0c6b2ba2af981e9ab0a98f6e169262caad4b9b9 | /stage0/src/Lean/Elab/Level.lean | a2000ef2069e3bbaa11ca0dc261e6bebc6a61c04 | [
"Apache-2.0"
] | permissive | fizruk/lean4 | 953b7dcd76e78c17a0743a2c1a918394ab64bbc0 | 545ed50f83c570f772ade4edbe7d38a078cbd761 | refs/heads/master | 1,677,655,987,815 | 1,612,393,885,000 | 1,612,393,885,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,583 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.LevelDefEq
import Lean.Elab.Exception
import Lean.Elab.Log
import Lean.Elab.AutoBound
namespace Lean.Elab.Level
structure Context where
... |
3c2e7c5f3109fb34c0264e69c8389f9670fc001f | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/convex/specific_functions.lean | 3bca1de1375c83a08d6aefcf64dabecd948762d3 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,314 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, SΓ©bastien GouΓ«zel
-/
import analysis.calculus.mean_value
import analysis.special_functions.pow
/-!
# Collection of convex functions
In this file we prove that the f... |
3020fbe922df9e283e8f02adf5abc239b2762067 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/box_integral/box/basic.lean | c1158afc42622c16e801711a5ecdbeae14ec2057 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 17,904 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import data.set.intervals.monotone
import topology.algebra.order.monotone_convergence
import topology.metric_space.basic
/-!
# Rectangular boxes in `ββΏ`
In this f... |
0d6cd70798b5eb2e5937b64c712986309f414deb | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /tests/lean/termination_by.lean | 0aa90a62a02c5e15816bc51a0bb5d0a3ec554633 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 923 | lean | mutual
inductive Even : Nat β Prop
| base : Even 0
| step : Odd n β Even (n+1)
inductive Odd : Nat β Prop
| step : Even n β Odd (n+1)
end
termination_by measure
mutual
def f (n : Nat) :=
if n == 0 then 0 else f (n / 2) + 1
termination_by measure
end
mutual
def f (n : Nat) :=
match n with
... |
a768ee59f813ebd7548334c9720f6cc728581584 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/finsupp.lean | bfd7de7bb016e0441453484589d5e32c367224c1 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 68,484 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Scott Morrison
-/
import algebra.module
/-!
# Type of functions with finite support
For any type `Ξ±` and a type `Ξ²` with zero, we define the type `finsupp Ξ± Ξ²` of fi... |
87c5c9f73fddf84ceb7309c7df3eeaf0165bfb98 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/IR/PushProj.lean | 63f73393f0cf1a6d16e71bd37fce05ac862f1218 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 2,025 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.IR.Basic
import Lean.Compiler.IR.FreeVars
import Lean.Compiler.IR.NormIds
namespace Lean.IR
partial def pushProjs (bs : Array FnBody)... |
2c4676e63d64e1ac7162a09a8a28edd2041b9310 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/group_theory/group_action.lean | 0994ae417bbb43acc68d6cdd41df50c09b4ca6a6 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 9,776 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.set.finite
import group_theory.coset
universes u v w
variables {Ξ± : Type u} {Ξ² : Type v} {Ξ³ : Type w}
/-- Typeclass for types with a scalar multiplication o... |
b827ee4be3ac1060cca976f02a3237ccf7d8c056 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/calculus/fderiv_analytic.lean | b18d50ad74cf499d91462a0f1681a726727bc0a3 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 7,181 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.deriv
import analysis.analytic.basic
import analysis.calculus.cont_diff
/-!
# Frechet derivatives of analytic functions.
A function expre... |
6dd8136478c0935b04f5c99a74f111398efb13dc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/adjoin/power_basis.lean | 070b9fc1506c105481d10e09de7c3cc76e4ae407 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 8,070 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.adjoin.basic
import ring_theory.power_basis
import linear_algebra.matrix.basis
/-!
# Power basis for `algebra.adjoin R {x}`
> THIS FILE IS SYNCHRONIZE... |
df77284af16d9b3558f5bead14f8fbf24fdd34ba | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/polynomial/chebyshev.lean | dd62074f3edbfeb214c349ac841a2eb670eb564f | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 10,927 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Julian Kuelshammer, Heather Macbeth
-/
import data.polynomial.derivative
import tactic.linear_combination
/-!
# Chebyshev polynomials
The Chebyshev polynomials are tw... |
0455d11ba3657edef482ece48a3c82ba50539753 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/algebra/pointwise.lean | 7f153d03f4b52bd6ba5f5fd9afee7af24762ba15 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 8,469 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Pointwise addition and multiplication of sets
-/
import data.set.finite data.set.lattice group_theory.group_action
namespace set
open function
variables {Ξ± : Type*} ... |
4c5365ed7b648687eea05c0d92d0dd180d3d7934 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/smartUnfolding.lean | 1c62670e82377154ff275072d5cc8a73d110c5e5 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 245 | lean | theorem ex1 (x y : Nat) (h : x + 2 = y + 2) : x = y := by
injection h with h
traceState -- without smart unfolding the state would be a mess
injection h with h
traceState -- without smart unfolding the state would be a mess
assumption
|
ddb39e66d3757e691b50b6761ce704b9a8c2c8bd | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/Tactic/Contradiction.lean | 2ae00020133bc2b3d405686c9df245fd9827bd4a | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 6,623 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.MatchUtil
import Lean.Meta.Tactic.Assumption
import Lean.Meta.Tactic.Cases
import Lean.Meta.Tactic.Apply
namespace Lean.Meta
structure Co... |
63c8514bfd9d935318194af25b0d1d264e64cf2a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Util/EStateT.lean | 1af244868454a839d9ef7d226c9012715a8e2b4f | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 684 | lean | /-
Copyright (c) 2022 Mac Malone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mac Malone
-/
namespace Lake
/-- An exception plus state monad transformer (ΞΉ.e., `ExceptT` + `StateT`). -/
abbrev EStateT.{u,v} (Ξ΅ : Type u) (Ο : Type u) (m : Type u β Type v) :=
Exce... |
832c468c33bc44a4d393e07ad74dc51bdb351323 | d450724ba99f5b50b57d244eb41fef9f6789db81 | /src/homework/hw7.lean | 540590c313093d6f0e6206037ebcf8b0524d57c3 | [] | no_license | jakekauff/CS2120F21 | 4f009adeb4ce4a148442b562196d66cc6c04530c | e69529ec6f5d47a554291c4241a3d8ec4fe8f5ad | refs/heads/main | 1,693,841,880,030 | 1,637,604,848,000 | 1,637,604,848,000 | 399,946,698 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,987 | lean | import data.set
namespace relation
-- PRELIMINARY SETUP
/-
Preliminary set up. For the rest of this file,
we specify an arbitrary binary relation, r, on
an arbitrary type, Ξ², as a two-place predicate,
with infix notation x βΊ y for (r x y). One can
pronounce these expressions in English as "x is
related to y".
-/
va... |
2e25c9c6c0fe012456e0f2e8910dd70157eee25e | 618003631150032a5676f229d13a079ac875ff77 | /src/geometry/manifold/basic_smooth_bundle.lean | 173fb9c6f99903f2b4e7ee4e1280a5d418a3ff10 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 31,950 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import topology.topological_fiber_bundle
import geometry.manifold.smooth_manifold_with_corners
/-!
# Basic smooth bundles
In general, a smooth bundle is a bund... |
df6f79137b5cede29dcf11f4a55c1656b1fe5f7e | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /old/language_term_n_de_bruijn.lean | 084d72d7040a5a44359cc0573af4a0985d168bcf | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 11,991 | lean | /- 9/20/18
Preliminary definitions and some functions for working with languages and first-order logic.
Much of the structure and methods are taken from Russell O'Connor's proof of Goedel's incompleteness theorem, at http://r6.ca/Goedel/goedel1.html
Andrew Tindall-/
/- 2018-09-21T13:12:55
Added some pr... |
39f8fdaf38e3c0e3041fb1b9c93cd31cc17d5cd1 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0102.lean | ec94ddf6877a467fd4e9e0f16b841a7a0cae4587 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 157 | lean | -- constant Proof : Prop β Type
-- constant and_comm : Ξ p q : Prop,
-- Proof (implies (and p q) (and q p))
variables p q : Prop
#check and_comm p q
|
d1fc872211665a3612dfd15adc17e84027e12c8d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/testing/slim_check/gen_auto.lean | 1e511096ebdb4fce552d8642f443d5d311cb88cb | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,050 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.control.uliftable
import Mathlib.Lean3Lib.system.random
import Mathlib.system.random.basic
impo... |
c337964be1065755a97dd096f99bf873e60eff9b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/types_auto.lean | d1f7daf36f75965b5281ca1a0d2c5291d1a512b4 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,630 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.images
import Mathlib.category_theory.filtered
i... |
14ee659b56101064d48844781ca138666f9292db | 626e312b5c1cb2d88fca108f5933076012633192 | /src/group_theory/group_action/defs.lean | dfdc4b805179cf12204b8716746d6fe837685c77 | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,657 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov
-/
import algebra.group.defs
import algebra.group.hom
import algebra.group.type_tags
import logic.embedding
/-!
# Definitions of group actions
This file d... |
5d7771b3acb34a6e2a8403d16aad421c4640a0fd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/adjunction/evaluation.lean | 735917af13f81fa5628b1f8682c7a77e533e9c96 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,848 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.limits.shapes.products
import category_theory.functor.epi_mono
/-!
# Adjunctions involving evaluation
We show that evaluation of functors have adjo... |
c94eb7026fae8830906358867a8c0217b35d4154 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/unfold1.lean | a3cab75b52185c2bf17728fa1aade42f8d74c0ce | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 515 | lean | exit -- TODO(Leo): enable test again after we add rfl lemma support to type_context
open tactic
meta_definition rewriteH (Hname : name) : tactic unit :=
do get_local Hname >>= rewrite_core reducible tt occurrences.all ff,
try reflexivity
example (l : list nat) : list.append l [] = l :=
by do
get_local `l >>= Ξ» H... |
6e202547246748a35ac14a0fb8694be0ba77e16c | 59a4b050600ed7b3d5826a8478db0a9bdc190252 | /src/category_theory/universal/complete/functor_category.lean | d856db6c8e65ab9919a1b7681566044859b78a51 | [] | no_license | rwbarton/lean-category-theory | f720268d800b62a25d69842ca7b5d27822f00652 | 00df814d463406b7a13a56f5dcda67758ba1b419 | refs/heads/master | 1,585,366,296,767 | 1,536,151,349,000 | 1,536,151,349,000 | 147,652,096 | 0 | 0 | null | 1,536,226,960,000 | 1,536,226,960,000 | null | UTF-8 | Lean | false | false | 2,214 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.currying
import category_theory.functor_categories.whiskering
import category_theory.universal.complete
import category_theory.universal.co... |
cfc0118593292b3de875e73e50c96d93bbb01197 | b73bd2854495d87ad5ce4f247cfcd6faa7e71c7e | /src/game/world1/level6.lean | a04a06f02374a073ee95be8f8837a912e69b4f6e | [] | no_license | agusakov/category-theory-game | 20db0b26270e0c95a3d5605498570273d72f731d | 652dd7e90ae706643b2a597e2c938403653e167d | refs/heads/master | 1,669,201,216,310 | 1,595,740,057,000 | 1,595,740,057,000 | 280,895,295 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 680 | lean | import category_theory.category.default
import game.world1.level4
universes v u -- The order in this declaration matters: v often needs to be explicitly specified while u often can be omitted
namespace category_theory
variables (C : Type u) [category.{v} C]
/-
# Category world
## Level 5: More tactic reviews
-/
... |
8a46fe00e4870c167897858fc34b7c9ef7a19fbb | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/basics/unnamed_115.lean | 6a142b6a1d64016fbe186589ae54e65dc0f170f0 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 182 | lean | import data.real.basic
-- BEGIN
example (a b c : β) : (c * b) * a = b * (a * c) :=
begin
sorry
end
example (a b c : β) : a * (b * c) = b * (a * c) :=
begin
sorry
end
-- END |
a4727ea91f64dc5ad5c2a07a7adf898b6088fadc | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/WHNF.lean | 725472da784d48cd12f0b763eac0d1a75150855d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 30,230 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.ToExpr
import Lean.AuxRecursor
import Lean.ProjFns
import Lean.Structure
import Lean.Util.Recognizers
import Lean.Meta.Basic
import Lean.Meta.Ge... |
c145d8ab17db2a984cf2427ac8ad471ba52ea595 | fffbc47930dc6615e66ece42324ce57a21d5b64b | /src/category_theory/instances/Top/adjunctions.lean | 7f46e7496c634f035b9310621550d4231f701303 | [
"Apache-2.0"
] | permissive | skbaek/mathlib | 3caae8ae413c66862293a95fd2fbada3647b1228 | f25340175631cdc85ad768a262433f968d0d6450 | refs/heads/master | 1,588,130,123,636 | 1,558,287,609,000 | 1,558,287,609,000 | 160,935,713 | 0 | 0 | Apache-2.0 | 1,544,271,146,000 | 1,544,271,146,000 | null | UTF-8 | Lean | false | false | 929 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Patrick Massot, Mario Carneiro
import category_theory.instances.Top.basic
import category_theory.adjunction
universe u
open category_theory
open category_theory.instances
nam... |
5d3b439a9d93e8ceb27cc1247073bb79e8f447e1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set_like/basic.lean | b83d85eaf1033b41ed705d69619074d52bb0c0c5 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,406 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import data.set.basic
import tactic.monotonicity.basic
/-!
# Typeclass for types with a set-like extensionality property
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any ... |
677ee0882fe5e684c53ad9c0d1bbb6dc2d54f7b7 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/no_confusion_bug.lean | 64b078a6b6786b5ae7ad0b2d4cf21ad2b16eb749 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 352 | lean | import data.nat.basic
open nat
inductive fin : nat β Type :=
fz : Ξ {n : nat}, fin (succ n),
fs : Ξ {n : nat}, fin n β fin (succ n)
namespace fin
inductive le : β {n : nat}, fin n β fin n β Prop :=
lez : β {n : nat} (j : fin (succ n)), le fz j,
les : β {n : nat} {i j : fin n}, le i j β le (fs i) (f... |
a7509c49dae6423ed0938bf59482ba3773faddf7 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/measure_theory/measurable_space.lean | 51c6c7df85584e941bf1287fa23f5b81d67dd78b | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 54,509 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.set.disjointed
import data.set.countable
import data.indicator_function
import data.equiv.encodable.lattice
import order.filter.basic
/-!... |
ff48b38e7c21b781ee9839ab968c18bde3110abb | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/polynomial/reverse.lean | ce96e925bde9aa2b3680442486dabcb7ffbbd306 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 13,106 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.degree.trailing_degree
import data.polynomial.erase_lead
import data.polynomial.eval
/-!
# Reverse of a univariate polynomial
The main definiti... |
7e724dabd00be5842925936de5ad5decffcc1c24 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab.lean | cfb880690f591b190d89495ac9454b71c98aa5ab | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,241 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Import
import Lean.Elab.Exception
import Lean.Elab.Config
import Lean.Elab.Command
import Lean.Elab.Term
import Lean.Elab.App
import Lean.E... |
7b2a57c2afefaafa014b29ade9c4093e2e911b6d | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lua/threads/deadlock.lean | 48b8fbba7438b283c4413be331ca90c6a4d547de | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 911 | lean | (*
import("util.lua")
local ps = proof_state()
local env = environment()
local Bool = Const("Bool")
env:add_var("p", Bool)
env:add_var("q", Bool)
local p, q = Consts("p, q")
local ctx = context()
ctx = ctx:extend("H1", p)
ctx = ctx:extend("H2", q)
ps = to_proof_state(env, ctx, p)
print(ps)
S1 = State()
S2 = State... |
5db63d6b54240a51747c71952f06eba593b9c5b5 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Util/Profile.lean | 7f0585584d99d601d2886998034a30fe6afd1837 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 608 | lean | /-
Copyright (c) 2019 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich
-/
prelude
import Init.System.IO
import Init.Lean.Data.Position
namespace Lean
/-- Print and accumulate run time of `act` when Option `profiler` is set to `true`.... |
2aaa9920bba6fdf996cd8f31c8e4301a5f0aec6f | f1dc39e1c68f71465c8bf79910c4664d03824751 | /library/init/algebra/ordered_group.lean | 7018fa281537834b5824fb3cd63880413f1d5641 | [
"Apache-2.0"
] | permissive | kckennylau/lean-2 | 6504f45da07bc98b098d726b74130103be25885c | c9a9368bc0fd600d832bd56c5cb2124b8a523ef9 | refs/heads/master | 1,659,140,308,864 | 1,589,361,166,000 | 1,589,361,166,000 | 263,748,786 | 0 | 0 | null | 1,589,405,915,000 | 1,589,405,915,000 | null | UTF-8 | Lean | false | false | 20,605 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.algebra.order init.algebra.group
/- Make sure instances defined in this file have lower priority than the ones
define... |
7c05aa15bfdc1122bc75653ce3387d9618a98b91 | 5382d69a781e8d7e4f53e2358896eb7649c9b298 | /posets.lean | c3c92c3ed7c106e860ee5c355abd3c47b7afaf77 | [] | no_license | evhub/lean-math-examples | c30249747a21fba3bc8793eba4928db47cf28768 | dec44bf581a1e9d5bf0b5261803a43fe8fd350e1 | refs/heads/master | 1,624,170,837,738 | 1,623,889,725,000 | 1,623,889,725,000 | 148,759,369 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,986 | lean | import .util
namespace posets
open function
open classical (em prop_decidable)
open classical (renaming some β unexists) (renaming some_spec β unexists_prop)
local attribute [instance] prop_decidable
open util
-- comparability:
inductive comp {T: Sort _} [hT: partial_order T] (x y: T): Pr... |
7c3f086ace8b538b4fd4246510c5f95179018dc9 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/topology/category/Top/opens.lean | 6761ad22de4ded11ddb5036caeea881dd19c2212 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 6,219 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.category.Top.basic
import category_theory.eq_to_hom
/-!
# The category of open sets in a topological space.
We define `to_Top : opens X β₯€ Top` and
`... |
f4c77407fea3ce503216627e9f2fd028110545eb | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/sets_functions_and_relations/unnamed_830.lean | 6c13dc82ed6c74382ef99e99700b9f37a4cf6063 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 373 | lean | import data.set.function
variables {Ξ± Ξ² : Type*}
variable f : Ξ± β Ξ²
variables s t : set Ξ±
-- BEGIN
example : f '' (s βͺ t) = f '' s βͺ f '' t :=
begin
ext y, split,
{ rintros β¨x, xs | xt, rflβ©,
{ left, use [x, xs] },
right, use [x, xt] },
rintros (β¨x, xs, rflβ© | β¨x, xt, rflβ©),
{ use [x, or.inl xs] },
... |
b0cace693f954b2e465a0747ae98ae2fe4cbe56e | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/equiv/local_equiv.lean | e844015f2afe7057584618ac0cf56cdbb37f1f35 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,467 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import data.equiv.basic
/-!
# Local equivalences
This files defines equivalences between subsets of given types.
An element `e` of `local_equiv Ξ± Ξ²` is made o... |
f8822d7230f4664ec3d487d404edd80238216e0b | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/yoneda_comparisons.lean | ced08cd5b9997d70bb6882cd423ed1f089c9c604 | [] | no_license | silky/lean-category-theory | 28126e80564a1f99e9c322d86b3f7d750da0afa1 | 0f029a2364975f56ac727d31d867a18c95c22fd8 | refs/heads/master | 1,589,555,811,646 | 1,554,673,665,000 | 1,554,673,665,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,987 | lean | import category_theory.yoneda
import category_theory.follow_your_nose
universes uβ vβ
open category_theory
-- Unimath, Coq
-- https://github.com/UniMath/UniMath/blob/master/UniMath/CategoryTheory/yoneda.v
-- Greg O'Keefe, Isabelle
-- https://www.isa-afp.org/browser_info/current/AFP/Category/document.pdf
-- Alexander... |
9a916ae816357e09ee902e7ad6c8add56de95dcc | bd12a817ba941113eb7fdb7ddf0979d9ed9386a0 | /src/algebraic_geometry/presheafed_space.lean | 04e407cb2fab94001bf2a90a29f389f416a5d363 | [
"Apache-2.0"
] | permissive | flypitch/mathlib | 563d9c3356c2885eb6cefaa704d8d86b89b74b15 | 70cd00bc20ad304f2ac0886b2291b44261787607 | refs/heads/master | 1,590,167,818,658 | 1,557,762,121,000 | 1,557,762,121,000 | 186,450,076 | 0 | 0 | Apache-2.0 | 1,557,762,289,000 | 1,557,762,288,000 | null | UTF-8 | Lean | false | false | 5,422 | lean | -- Copyright (c) 2019 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.instances.Top.presheaf
universes v u
open category_theory
open category_theory.instances
open category_theory.instances.Top
open topologic... |
3ee39523177f6c806bac6659592af0290d97ece4 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /hott/types/eq.hlean | af916be3b7feb86d805a0dc21417070f02b82c05 | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 21,515 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Partially ported from Coq HoTT
Theorems about path types (identity types)
-/
import types.sigma
open eq sigma sigma.ops equiv is_equiv is_trunc
-- TODO: Rename tra... |
c7216c2e2ae95a4ea21260826e7af6d688548ce7 | f1dc39e1c68f71465c8bf79910c4664d03824751 | /tests/lean/123-2.lean | d458594303fa96696d552abd09d785d0ad5759a2 | [
"Apache-2.0"
] | permissive | kckennylau/lean-2 | 6504f45da07bc98b098d726b74130103be25885c | c9a9368bc0fd600d832bd56c5cb2124b8a523ef9 | refs/heads/master | 1,659,140,308,864 | 1,589,361,166,000 | 1,589,361,166,000 | 263,748,786 | 0 | 0 | null | 1,589,405,915,000 | 1,589,405,915,000 | null | UTF-8 | Lean | false | false | 1,713 | lean | open function
class has_scalar' (R : Type*) (A : Type*) := (smul : R β A β A)
infixr ` β’ `:73 := has_scalar'.smul
structure ring_hom' (M : Type*) (N : Type*) [semiring M] [semiring N] :=
(to_fun : M β N)
(map_one' : to_fun 1 = 1)
(map_mul' : β x y, to_fun (x * y) = to_fun x * to_fun y)
(map_zero' : to_fun 0 = 0)
(ma... |
e4bab7f48fa96dbbee047e932323fcc354e8f412 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/tactic24.lean | 9326510649090d8e12f16981dc6894cdda690b22 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 548 | lean | import logic
open tactic
definition my_tac1 := apply @eq.refl
definition my_tac2 := repeat (apply @and.intro; assumption)
tactic_hint my_tac1
tactic_hint my_tac2
theorem T1 {A : Type.{2}} (a : A) : a = a
:= _
theorem T2 {a b c : Prop} (Ha : a) (Hb : b) (Hc : c) : a β§ b β§ c
:= _
definition my_tac3 := fixpoint (Ξ» f,... |
28223780996d2190f8913d083e6fadd13210cd61 | 43dcf09a5df9dc4729cdc024e8680eeaacd05af3 | /binary_op.lean | 23123ce76c4248ed5bd2b1980a91b48cbe2c679d | [] | no_license | khoek/lmath | f9ea911aabee1eb276a5319e70a5e62e6bfe8fb1 | a4f35205e6b5a3f16926234bf8eb7f7b5f56e47f | refs/heads/master | 1,611,452,778,710 | 1,532,531,556,000 | 1,532,569,670,000 | 122,820,532 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,288 | lean | import data.quot
import tidy.tidy
lemma eq_is_refl {Ξ± : Type} {r : Ξ± β Ξ± β Prop} : equivalence r β reflexive r
:= by intro h; exact and.elim_left h
lemma eq_is_symm {Ξ± : Type} {r : Ξ± β Ξ± β Prop} : equivalence r β symmetric r
:= by intro h; exact and.elim_left (and.elim_right h)
lemma eq_is_trans {Ξ± : Type} {r : Ξ± β Ξ±... |
5676457658cc6cb24704164f1083b2d095bf2d3e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/modular_lattice.lean | 268d8a717d9a0d0a887d0936b310aa5da7072614 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,468 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.rel_iso
import Mathlib.order.lattice_intervals
import Mathlib.order.order_dual
import... |
fc78719f17a031e77e72e3cd49c1e630c54de001 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/metric_space/hausdorff_distance.lean | 2f57d226d2b651ab65975b42231abfbda36d2d0e | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,503 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: SΓ©bastien GouΓ«zel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.metric_space.isometry
import Mathlib.topology.instances.ennreal
import Mathli... |
22096b84463def3e7d2e14500a6d34c6b0cf89ff | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/multiset/erase_dup_auto.lean | 47c9359e73147c9736d4a9f68b2c561f9089a1e4 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,393 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.multiset.nodup
import Mathlib.PostPort
universes u_1 u_2
namespace Mathlib
/-!
# Er... |
4e09c5f9055be5c84d4ba08bc66f27166d3d0f3e | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/measure_theory/borel_space.lean | 789a4571270f653a07f4f0e8dcb5f4719b76e794 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 65,710 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Yury Kudryashov
-/
import measure_theory.measure_space
import measure_theory.ae_measurable_sequence
import analysis.complex.basic
import analysis.normed_space.finite_di... |
d0690737112ac35587aa06174dda7dbc316053aa | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/nat/basic.lean | 5f8cdac840a51a362d983b311d9dc7057d029bbb | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 64,490 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.ordered_ring
import algebra.order_functions
import init_.data.nat.lemmas
/-!
# Basic operations ... |
bd43567e635269c8383eea9cc61fd91adefdc8f6 | 7afc29faca4febb6e5005c20aa4aa5c3df5cf35c | /src/thm.lean | 25f4def60462def4dee37522cbd8bac1fab72cd4 | [
"MIT"
] | permissive | Piwry/Proof-of-Surreal | ad2883027e275050b43a578c5513ae3fe350515b | 6b92baf2382ac23dd0d700f5c958aa910ad4b754 | refs/heads/master | 1,670,521,185,736 | 1,599,657,591,000 | 1,599,657,591,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,647 | lean | import defs single finite branch grow data.list
open classical
lemma branch_to_dense : β l, (β b, height b = height_bound l β β¨bβ© β (l β¦ b)) β (β t, height_bound l <= height t β (l β¦ t)):=
begin
intros l h1 t h2,
cases (kernel_lemma _ _ (height_bound_ge1 _) h2),
have ht1 : _ := h.left,
have ht2 : _ := h.right... |
3a6e6105970fade857386f52761de881dda55b54 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Config/Opaque.lean | 93b708c09184230c0772e7465781ec571c8927f2 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 556 | lean | /-
Copyright (c) 2021 Mac Malone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mac Malone
-/
import Lake.Util.Name
import Lake.Util.Opaque
namespace Lake
/-- Opaque reference to a `Package` used for forward declaration. -/
declare_opaque_type OpaquePackage
/-- Opa... |
e9cbed21d950f9841c85c3c8e0299bfc007dc5fb | 1446f520c1db37e157b631385707cc28a17a595e | /src/Init/Lean/Meta/Basic.lean | 4b5664efcd86d89d01c69d6ace0efd6dc15f6ace | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,423 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.Reader
import Init.Lean.Data.LOption
import Init.Lean.Environment
import Init.Lean.Class
import Init.Lean.ReducibilityAttrs
impo... |
4b38f562432930af44f59e97e8094c44eb1d3d9d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/graded_object.lean | ff2b216b6f51ab0138545c104803d8dfa5a27938 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 6,841 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.int.basic
import algebra.group_power.lemmas
import category_theory.pi.basic
import category_theory.shift
import category_theory.concrete_category.basic
/... |
b739d0a224721c9f7c87ee90f0b59904160f572f | 4a894698f2ae3f991490c25af3c13ea4435dac48 | /src/instructor/lectures/lecture_2.lean | 5edaa5f9ebb3b35ba7cd29c802053dbdf17dcf33 | [] | no_license | gnujey/cs2120f21 | 8a33f636346d59ade049dcc1726634f434ac1955 | 138d43446c443c1d15cd2f17fb607c4f0dff702f | refs/heads/main | 1,690,598,880,775 | 1,631,132,566,000 | 1,631,132,566,000 | 405,182,739 | 1 | 0 | null | 1,631,299,824,000 | 1,631,299,823,000 | null | UTF-8 | Lean | false | false | 5,854 | lean | /-
INFERENCE RULE #1/2: EQUALITY IS REFLEXIVE
Everything is equal to itself. A bit more formally,
if one is given a type, T, and a value, t, of this
type, then you may have a proof of t = t "for free."
-/
axiom eq_refl :
β (T : Type) -- if T is any type (of thing)
(t : T), -- and t is thing of that type, ... |
de8992a4918146a5592094c574b34de01c35a0b5 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/sheaves/presheaf.lean | 44e1cc181eeac3a8e9ac82933f295ff2b56de6d8 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 3,809 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Mario Carneiro, Reid Barton
-/
import topology.category.Top.opens
/-!
# Presheaves on a topological space
We define `presheaf C X` simply as `(opens X)α΅α΅ β₯€ C`,
and in... |
ee32e3437aeba02ea932167f864a7b3cff3a7d2f | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/Process.lean | 6591d72261507f571d5a48d1e059304e4d835e34 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 1,519 | lean | --
open IO.Process
def usingIO {Ξ±} (x : IO Ξ±) : IO Ξ± := x
#eval usingIO do
let child β spawn { cmd := "sh", args := #["-c", "exit 1"] };
child.wait
#eval usingIO do
let child β spawn { cmd := "sh", args := #["-c", "echo hi!"] };
child.wait
#eval usingIO do
let child β spawn { cmd := "sh", args := #["-c", ... |
a89a382d38a40198907411500df3a51fbef01c60 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/legendre_symbol/gauss_sum.lean | d3eec3b506a903970dfc7187b997cf286bb2f617 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 14,248 | lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
import number_theory.legendre_symbol.add_character
import number_theory.legendre_symbol.zmod_char
import algebra.char_p.char_and_card
/-!
# Gauss sums
> THIS FILE IS ... |
2d79b578c04c8c3d00d0526324306bfefcefdc59 | aa101d73b1a3173c7ec56de02b96baa8ca64c42e | /src/solutions/02_iff_if_and.lean | b97ed1bb0e01f24caba9d5533ad8e1d85550fcf3 | [
"Apache-2.0"
] | permissive | gihanmarasingha/tutorials | b554d4d53866c493c4341dc13e914b01444e95a6 | 56617114ef0f9f7b808476faffd11e22e4380918 | refs/heads/master | 1,671,141,758,153 | 1,599,173,318,000 | 1,599,173,318,000 | 282,405,870 | 0 | 0 | Apache-2.0 | 1,595,666,751,000 | 1,595,666,750,000 | null | UTF-8 | Lean | false | false | 15,323 | lean | import data.real.basic
/-
In the previous file, we saw how to rewrite using equalities.
The analogue operation with mathematical statements is rewriting using
equivalences. This is also done using the `rw` tactic.
Lean uses β to denote equivalence instead of β.
In the following exercises we will use the lemma:
su... |
7f4677d8fe1e23f3990990cbd422c6f3c4dcb519 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/linear_algebra/contraction.lean | ff9320cc0c9b4ad56eddce2ad4e4aa3b5adb463a | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 1,832 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import linear_algebra.dual
/-!
# Contractions
Given modules $M, N$ over a commutative ring $R$, this file defines the natural linear maps:
$M^* \otimes M \to R$, $M \otim... |
5f9b3bc2327a37dbc752eefe031dfe825ec6e56a | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/metric_space/gromov_hausdorff.lean | 6b1675dc5ae11f080364e1759bb191097cf3de30 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,265 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import topology.metric_space.closeds
import set_theory.cardinal
import topology.metric_space.gromov_hausdorff_realized
import topology.metric_space.completion
i... |
72657b9d2e69bf6de4bb5780dcd7e6e310887708 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/irCompilerBug.lean | 08d6f5649d2a15fd79bf79da778ddafd2ae07a19 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 795 | lean | --
structure Payload :=
(key : Nat)
(val : Nat)
@[noinline] def get? (p : Payload) (k : Nat) : OptionM Nat :=
if p.key == k then p.val else none
inductive T
| a (i : Nat)
| b (i : Nat)
| c (i : Nat)
| d (i : Nat)
@[noinline] def foo (p : Payload) : OptionM T :=
(do
let i β get? p 1;
pure (T.a i))
<|> (do
le... |
0691b60758cab7e1f65432a4cab8128c4407d845 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Meta/Match/CaseValues.lean | 83aaa377045ff9fe87132ab922c00990ebda6bb1 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,516 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Subst
import Lean.Meta.Tactic.Clear
namespace Lean.Meta
structure CaseValueSubgoal :=
(mvarId : MVarId)
(newH : FVarId)
(s... |
a54072889060ed33ab8663573443ad2716c91fe6 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/finsupp/lattice.lean | 6eaa6b452dfe645c923150b22e5574f2afd8b378 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,975 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.finsupp.basic
/-!
# Lattice structure on finsupps
This file provides instances of ordered structures on finsupps.
-/
open_locale classical
noncomputab... |
6e3bb429a2c16cf11e762ab0ee5ed70ba07ed745 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /src/10b_Relations/00_intro.lean | 069a26d9a8c6ff6191ad9df8468fa04b7a4a09db | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 3,541 | lean | /-
As discussed in the last unit, a
predicate is a proposition with
one more more arguments.
In the last unit, we studied
predicates with one argument. We
saw that such a predicate can be
seen as specifying a *property*
of values of its argument type.
Examples included the properties
of being even, being equal t... |
949ceae849fe88e99b56c1f27f3950b497396569 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/functor/examples.hlean | 28e698c7edd136aa65a182a777591f1bb571dfa5 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 9,854 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Definition of functors involving at least two different constructions of categories
-/
import ..constructions.functor ..constructions.product ..constructions.oppos... |
737c42620346f6d237720d07eeb4aaa3a42821f8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/testing/slim_check/sampleable.lean | ac9b0ac097fe20bf7ba0b1ab989af832c299f5e0 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 31,447 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.lazy_list.basic
import data.tree
import data.pnat.basic
import control.bifunctor
import control.ulift
import testing.slim_check.gen
import tactic.linarith
/-!
... |
397b767c7110522a4eaf7f3b761bda08814f1806 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/ring/char_zero.lean | abff0e877ff3d2485150c76b199038eaaff175f7 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 701 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-/
import algebra.char_zero.defs
import algebra.order.ring.defs
/-!
# Strict ordered semiring have characteristic zero
> THIS FILE IS ... |
65148884e141db4d84ac896d807baf200b17607c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/well_founded.lean | 09441b6d892ff2e44adc1e5813a50f0efd52bc99 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,735 | lean | /-
Copyright (c) 2020 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.basic
import Mathlib.PostPort
universes u_1
namespace Mathlib
/-... |
5d44b26bb3bf5dda4fbfc61117d8da8324d4da3e | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/witt_vector/defs.lean | 519296c39f2a7d0842d5adc718700789af2d7423 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,679 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import ring_theory.witt_vector.structure_polynomial
/-!
# Witt vectors
In this file we define the type of `p`-typical Witt vectors and ring operat... |
cb09d1da70f5fe26218b53d1b08e888065608b39 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/coprime.lean | 35762ec488b20232d335cd1c2fbad6c3929d3cf4 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,579 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Ken Lee, Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.ring
import Mathlib.algebra.big_operators.basic
import Mathlib.data.fin... |
32108693e27836dab9e7ad4122f1b1b45221f0e1 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebraic_geometry/properties.lean | 52d00b6bfb420fd7dee8807fd9e0ffcdc449d218 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 14,027 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.AffineScheme
import ring_theory.nilpotent
import topology.sheaves.sheaf_condition.sites
import algebra.category.Ring.constructions
import ring_the... |
f6b0882dc8de690aa1ca7b7020351df42ccd41b4 | b074a51e20fdb737b2d4c635dd292fc54685e010 | /src/algebraic_geometry/presheafed_space.lean | d9ec637ce1bd410df0ff9ddbbf9ef1d3f755f376 | [
"Apache-2.0"
] | permissive | minchaowu/mathlib | 2daf6ffdb5a56eeca403e894af88bcaaf65aec5e | 879da1cf04c2baa9eaa7bd2472100bc0335e5c73 | refs/heads/master | 1,609,628,676,768 | 1,564,310,105,000 | 1,564,310,105,000 | 99,461,307 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,589 | lean | -- Copyright (c) 2019 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import topology.Top.presheaf
/-!
# Presheafed spaces
Introduces the category of topological spaces equipped with a presheaf (taking values in an
arbitrary target... |
437e5c30df865c45dc6e4203cef2b6b71328c156 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/char_poly/basic_auto.lean | 8d655b35de28ffaaff3011876ec0ad001ac7ad6a | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,591 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.apply_fun
import Mathlib.ring_theory.matrix_algebra
import Mathlib.ring_theory.polyn... |
f38a159f2d2141ae63236255c8659ea79bb4ac38 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/elab_meta1.lean | f63260d440a57aefe95fd8c70649d5bbef86470f | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 230 | lean |
meta_definition f : nat β nat
| n := if n / 2 = 0 then n + 1 else f (n / 2) + 1
meta_definition g : nat Γ nat β nat
| (0, b) := b
| (a+1, b+1) := g (a/2 - 1, a + b)
| (a+1, 0) := 2*a
vm_eval f 200
vm_eval g (10, 20)
|
dfd3302adfa311553a34021eeafb22e1c601e66c | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/ring_theory/integral_closure.lean | 5a4ab2ec6d0e0dcaef5353aebc3fa08ab5eea3b9 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 17,400 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Integral closure of a subring.
-/
import ring_theory.adjoin linear_algebra.finsupp
universes u v
open_locale classical
open polynomial submodule
section
variables (R : Type u... |
2fcffd96a771aafe690d4d6b9825108bd30d977c | 618003631150032a5676f229d13a079ac875ff77 | /src/data/option/basic.lean | 7c2f2358d27a2a123429e70d2a93032c2aa77740 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 7,418 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import tactic.basic
namespace option
variables {Ξ± : Type*} {Ξ² : Type*} {Ξ³ : Type*}
lemma some_ne_none (x : Ξ±) : some x β none := Ξ» h, option.no_confusion h
@[simp]... |
3217bf26685cd4a41f09e14ebad9025d99f3d7cb | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/hott/len_eq.hlean | 2ddfafa8ed56f09d7a2b8d24c69e92f0939f5663 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 2,970 | hlean | import init.ua
open nat unit equiv is_trunc
inductive vector (A : Type) : nat β Type :=
| nil {} : vector A zero
| cons : Ξ {n}, A β vector A n β vector A (succ n)
open vector
notation a :: b := cons a b
definition const {A : Type} : Ξ (n : nat), A β vector A n
| zero a := nil
| (succ n) a := a :: const n a
d... |
960c9e4ef076bcd68184f8e4d3a073958c13b2e0 | f57749ca63d6416f807b770f67559503fdb21001 | /tests/lean/run/new_obtain4.lean | 034a09c47db25daccdafba2e03f471c29c200e6a | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 451 | lean | import data.set
open set function eq.ops
variables {X Y Z : Type}
lemma image_compose (f : Y β X) (g : X β Y) (a : set X) : (f β g) '[a] = f '[g '[a]] :=
setext (take z,
iff.intro
(assume Hz,
obtain x Hxβ Hxβ, from Hz,
by repeat (apply mem_image | assumption | reflexivity))
(assume Hz,
obt... |
ad6cad16a6d9cb36521bcdbd75fc4ef6a1b55453 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/data/nat/basic.lean | ca34c09f43c1189619cbb9b75a1c979fb4e2705a | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 62,439 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.ordered_ring
import algebra.order_functions
/-!
# Basic operations on the natural numbers
This ... |
e82b654c1c2d081136d28535a6113602686411ca | 0533ebfa09b11cf8a29da118dd1b86b94949511e | /src/cauchy.lean | b8ec36c3f55f422e939d96ac2aa6070c49ed0b73 | [
"MIT"
] | permissive | wudcscheme/Lean-RH | 89e9055aac68703876e750c23fb5327979a09822 | 870f78cc7c0715d03466d1211b0f032b425ec984 | refs/heads/main | 1,679,188,429,923 | 1,602,701,790,000 | 1,602,701,790,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,820 | lean | /- ------------------------------------------------------------------------- -|
| @project: riemann_hypothesis |
| @file: cauchy.lean |
| @author: Brandon H. Gomes and Alex Kontorovich ... |
17ebcbf4e37db4e73c00b32b19847f2f1c2836b6 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/omega/coeffs.lean | a76b0515188ea3e5c8c5e758b13c188e63f6b22f | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 10,176 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Non-constant terms of linear constraints are represented
by storing their coefficients in integer lists.
-/
import data.list.basic
import tactic.ring
import tactic.omega.misc
na... |
287e6e7badd0ef01755716b49d5e861747b4b23a | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/monad/bundled.lean | b3e0203ae9de2f16e3feaa711b4607fa7aa25e81 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 3,274 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.monad.basic
import category_theory.eq_to_hom
/-!
# Bundled Monads
We define bundled (co)monads as a structure consisting of a functor `func : C β₯€ C` ... |
602a0011a956c0fcd9337265aa636c063200b16b | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/order/absolute_value.lean | 23ddd4dd61e67bf6dfc0edd960cd43910e563949 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,877 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Anne Baanen
-/
import algebra.order.field
/-!
# Absolute values
This file defines a bundled type of absolute values `absolute_value R S`.
## Main definitions
* `absol... |
d02ef23ab2718d6ad725fa4bc474bb9a2f355c77 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/decidable.lean | 1d31701f8f9a4b66a1ff54ab001f4943c5428064 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 203 | lean | open bool unit decidable
constants a b c : bool
constants u v : unit
set_option pp.implicit true
#check if ((a = b) β§ (b = c) β Β¬ (u = v) β¨ (a = c) β (a = c) β a = tt β true) then a else b
|
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